Gear

Purpose

Ideal gear

Library

Mechanical / Rotational / Components

Description

../../_images/gear.svg

The Gear models an ideal gearbox with two shafts rotating in the same direction. The shaft moving with \(\omega_2\) is marked with a dot. The relation between the torques and angular speeds of the two shafts is described with the following equations:

\[\begin{split}\omega_{\mathrm{2}} &= g\cdot\omega_{\mathrm{1}} \\ \tau_{\mathrm{1}} &= g\cdot\tau_{\mathrm{2}}\end{split}\]

where \(g\) is the gearbox ratio.

Parameters

Gear ratio

The gearbox ratio \(g\). A negative gearbox ratio will cause the shafts to rotate in opposite directions.